The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 49
EF is double of the square of GF . But G F is equal ( I. 34 ) to CD . Therefore the square of E F is double of the square of CD . But it has been proved that the square of AE is double of the square of A C. Therefore the squares of A E ...
EF is double of the square of GF . But G F is equal ( I. 34 ) to CD . Therefore the square of E F is double of the square of CD . But it has been proved that the square of AE is double of the square of A C. Therefore the squares of A E ...
Seite 50
Therefore the squares of EC and CA are double of the square of CA. But the square of E A is equal ( I. 47 ) to the squares of EC and CA. Therefore the square of E A is double of the square of AC . Again , because G F is equal to E F ...
Therefore the squares of EC and CA are double of the square of CA. But the square of E A is equal ( I. 47 ) to the squares of EC and CA. Therefore the square of E A is double of the square of AC . Again , because G F is equal to E F ...
Seite 69
The angle at the centre of a circle is double of the angle at the circumference standing upon the same arc , that is , upon the same part of the cir- cumference . Let A B C be a circle , BEC an angle at the centre , and BAC an angle at ...
The angle at the centre of a circle is double of the angle at the circumference standing upon the same arc , that is , upon the same part of the cir- cumference . Let A B C be a circle , BEC an angle at the centre , and BAC an angle at ...
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole
Bibliografische Informationen
| Titel | The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid Cassell's edition of Euclid Cassell's educational works |
| Autor/in | Euclid |
| Ausgabe | 82 |
| Verlag | Cassell, Petter, and Galpin, 1859 |
| Länge | 212 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |